Your friend finds the mean and median of the data set: 40, 38, 62, 70, 56, 41, 58, 48, 60, 45. Your friend says that the mean and median are both 52. Is your friend correct? If not, find the correct answer.
To find the mean, we add up all the numbers in the data set and divide by the total number of values:
(40 + 38 + 62 + 70 + 56 + 41 + 58 + 48 + 60 + 45) / 10 = 508 / 10 = 50.8
So, the mean is actually 50.8, not 52.
To find the median, we first need to arrange the data set in numerical order:
38, 40, 41, 45, 48, 56, 58, 60, 62, 70
Since there are 10 values in the data set, the median is the average of the middle two numbers:
(48 + 56) / 2 = 52
Therefore, the correct median is actually 52, so your friend is correct about the median but incorrect about the mean.